a number is diveded into two parts such that 2 times of one part is equal to 3 times of other . if the number is multiplied by 2 and 20 is added gives 120
1. the orginal number is -----------
options
a,60 b, 70 c,50 d,40
Answers
Step-by-step explanation:
Since the two parts are in the ratio 5:3, then let the first number be 5x and second number be 3x. As second number is 10 more than the other, so it will be 3x+10.
5x=3x+10
2x=10
x=5
The first number becomes 5(5)=25 and second number becomes 3(5)=15.
The new number will be 25+15=40.
Answer:
The original number is (c) 50.
Step-by-step explanation:
Let the original number be x and let it be divided into a and b. (Hence, we get the relation a+b=x).
Now, according to the question, 2a=3b
This implies that a = 1.5b
Again, a+b=x
=> 2.5b = x
=> b = x/2.5 = 0.4x
=> a = 0.6x
Also, if the number is multiplied by 2 and 20 is added it gives 120.
Therefore, 2x+20 = 120
2x = 100
x = 50
Hence, the parts into which the number will be divided are (0.6*50) 20 and (50-30) 20.
NOTE: THE QUESTION CONTAINS SOME ADDITIONAL INFORMATION THAT IS NOT REQUIRED TO SOLVE THE QUESTION AND IS ONLY INCLUDED TO CONFUSE YOU. HOWEVER, I HAVE STILL SOLVED IT IN CASE YOU WERE CURIOUS ABOUT THE DISTRIBUTION OF NUMBER INTO DIFFERENT PARTS.
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